1006840133 has 16 divisors (see below), whose sum is σ = 1104600000. Its totient is φ = 912038400.

The previous prime is 1006840129. The next prime is 1006840171. The reversal of 1006840133 is 3310486001.

It is not a de Polignac number, because 1006840133 - 2² = 1006840129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006840123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 805493 + ... + 806741.

It is an arithmetic number, because the mean of its divisors is an integer number (69037500).

Almost surely, 2^1006840133 is an apocalyptic number.

1006840133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1006840133 is a deficient number, since it is larger than the sum of its proper divisors (97759867).

1006840133 is a wasteful number, since it uses less digits than its factorization.

1006840133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1006840133 is about 31730.7442868900. The cubic root of 1006840133 is about 1002.2748653966.

The spelling of 1006840133 in words is "one billion, six million, eight hundred forty thousand, one hundred thirty-three".